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Finding the Fourth Proportional to 97,407, 134,421.84 and 52,695

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Solution

The fourth proportional to 97,407, 134,421.84 and 52,695 is: 72,719.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,407 : 134,421.84 = 52,695 : x
  2. Step 2: Convert to fraction form
    97,407/134,421.84 = 52,695/x
  3. Step 3: Cross multiply
    97,407x = 134,421.84 × 52,695
  4. Step 4: Simplify right side
    97,407x = 7,083,358,858.80
  5. Step 5: Solve for x
    x = 7,083,358,858.80/97,407
  6. Step 6: Final answer
    x = 72,719.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.